Gradient Estimates for a Nonlinear Diffusion Equation on Complete Manifolds

被引：0

作者：

Wu, Jiaxian ^{[1
]}

Ruan, Qihua ^{[2
]}

Yang, Yihu ^{[3
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Putian Univ, Dept Math, Fujian 351100, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2015年 / 36卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Gradient estimate; Bakry-Emery Ricci curvature; Nonlinear diffusion equation; PARABOLIC EQUATION; THEOREM;

D O I：

10.1007/s11401-015-0922-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the gradient estimates of the Hamilton type for the positive solutions to the following nonlinear diffusion equation: u(t) = Delta u + del phi . del u + a(x)u ln u + b(x)u on a complete noncompact Riemannian manifold with a Bakry-Emery Ricci curvature bounded below by -K (K >= 0), where phi is a C-2 function, a(x) and b(x) are C-1 functions with certain conditions.

引用

页码：1011 / 1018

页数：8

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